113624016 has 40 divisors (see below), whose sum is σ = 320214624. Its totient is φ = 34431360.

The previous prime is 113623999. The next prime is 113624033. The reversal of 113624016 is 610426311.

It is an interprime number because it is at equal distance from previous prime (113623999) and next prime (113624033).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107071 + ... + 108126.

Almost surely, 2^113624016 is an apocalyptic number.

113624016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

113624016 is an abundant number, since it is smaller than the sum of its proper divisors (206590608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113624016 is a wasteful number, since it uses less digits than its factorization.

113624016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215219 (or 215213 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 113624016 is about 10659.4566465651. The cubic root of 113624016 is about 484.3471088817.

It can be divided in two parts, 1136 and 24016, that added together give a palindrome (25152).

The spelling of 113624016 in words is "one hundred thirteen million, six hundred twenty-four thousand, sixteen".